.....................

For all three water parks the cost of a function of numbers of right compare the functions for all three water parks in terms of

Aleks [24]

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

First, we determine the cost function for all the three rides.

Ride A

From the graph, we have the following points

$(x_1,y_1) = (0,8)$

$(x_2,y_2) = (2,12)$

Calculate slope

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{12-8}{2-0}$

$m = \frac{4}{2}$

$m =2$ --- This represents the rate per ride

The equation is the calculated as:

$y = m(x - x_1) + y_1$

So, we have:

$y = 2(x - 0) + 8$

$y = 2(x) + 8$

$y = 2x + 8$

So, the cost function is:

$C(x) =2x + 8$

Calculate the cost of admission i.e. x=0

$C(0) = 2*0+8 = 8$

So, we have:

$C(0) = 8$ --- Admission Charge

$C(x) =2x + 8$ --- Cost function

$m =2$ --- Rate per ride

Ride B

From the table, we have the following points

$(x_1,y_1) = (0,12)$

$(x_2,y_2) = (4,15)$

Calculate slope

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{15-12}{4-0}$

$m = \frac{3}{4}$

$m = 0.75$ --- This represents the rate per ride

The equation is the calculated as:

$y = m(x - x_1) + y_1$

So, we have:

$y = 0.75(x - 0) + 12$

$y = 0.75(x) + 12$

$y = 0.75x + 12$

So, the cost function is:

$C(x) = 0.75x + 12$

Calculate the cost of admission i.e. x=0

$C(0) = 0.75*0 + 12=12$

So, we have:

$C(0) =12$ --- Admission Charge

$C(x) = 0.75x + 12$ --- Cost function

$m = 0.75$ --- Rate per ride

Ride C

No additional fee;

So, the cost function is;

$C(x) = 30$

In summary, we have:

Ride A

$C(x) =2x + 8$ --- Cost function

$m =2$ --- Rate per ride

Ride B

$C(x) = 0.75x + 12$ --- Cost function

$m = 0.75$ --- Rate per ride

Ride C

$C(x) = 30$ --- Cost function

By comparison

Ride A has the highest rate per ride of (#2), followed by ride B with a rate of #0.75 per ride.

Ride C has no charges per ride

The impact on the total cost is that:

Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take

Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take

For A and B, the overall cost depends on the number of rides taken.

Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30

4 0

3 years ago

Match each sequence below to statement that BEST fits it.

Aleksandr [31]

Answer: hello your question is poorly written attached below is the complete question

answer:

1 ) = I (

2) = F

3) = Z

4) = D

Step-by-step explanation:

attached below is the required solution.

1 ) = I ( The sequence diverges to infinity )

2) = F ( The sequence has a finite non-zero limit )

3) = Z ( The sequence converges to zero )

4) = D ( The sequence diverges )

6 0

3 years ago

Select the correct answer from each drop-down menu.

Svetradugi [14.3K]

If you read the question you can find it missing some information. By Googling it, you can find the complete question here. brainly.com/question/12852445

The given statement m∠1 = m∠4 and m∠3 = m∠5, its reason is Alternate Interior Angle.

Step-by-step explanation:

Let ABC is a triangle and a line DE traverses through the point B.

That results in AC is parallel to DE.

From the diagram, m∠1 and m∠4 is alternate to each other and m∠3 and m∠5 is alternate to each other. Also, they present in the interior position.

According to alternate interior theorem, when a line traverses through two parallel line creates equal angles in the interior sides which the angles will be opposite to each other.

⇒ m∠1 = m∠4 and m∠3 = m∠5. (refer the diagram).

Now let us continue with the proof,

The total angle of the straight line is 180°.

Here the straight line is DE which consists of three angles m∠4, m∠2, m∠5.

⇒m∠4 + m∠2 + m∠5 = 180° .

we know that, m∠1 = m∠4 and m∠3 = m∠5.

Let us substitute in the above equation.

m∠1 + m∠2 + m∠3 = 180°.

Hence proved.

4 0

3 years ago

Read 2 more answers

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 10PTS PLUS BRAINLEIST!!!!!!!!!!!!!! THIS!!!!! IS!!!!! URGENT!!!!!!

Shtirlitz [24]

1.
$4 \pm \sqrt{49} = 4 \pm 7 =$ 4 + 7 or 4 - 7 = 11 or -3

2.
pi is a real number. It is not imaginary or complex, so it definitely belongs to the set of real numbers.
pi is not a whole number or a rational number. It cannot be written as a fraction of integers. pi is irrational.
Therefore, pi is real and irrational.

3 0

3 years ago

Circle B below has a diameter of 12 inches.

jeka94

I’m sorry I was never good at this once I always had problems with it in 7th grade

7 0

4 years ago